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The phases of 2D NCOS
High Energy Physics - Theory · Submitted 8 Aug 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the length scale of non-commutativity increases at strong coupling, the coupling in turn being dressed by a power of D-string charge.
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The abstract, sentence by sentence
We study the phases of the 1+1 dimensional Non-Commutative Open String theory on a circle. We find that the length scale of non-commutativity increases at strong coupling, the coupling in turn being dressed by a power of D-string charge. The system is stringy at around this length scale, with dynamics involving an interplay between the open and wrapped closed strings sectors. Above this energy scale and at strong coupling, and below it at weak coupling, the system acquires a less stringy character. The near horizon geometry of the configuration exhibits several intriguing features, such as a flip in the dilaton field and the curvature scale, reflecting UV-IR mixing in non-commutative dynamics. Two special points in the parameter measuring the size of the circle are also identified.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the phases of the 1+1 dimensional Non-Commutative Open String theory on a circle. | contribution 0.95 | 0.85 | 0.03 | asserted 0.72 |
| s1 | We find that the length scale of non-commutativity increases at strong coupling, the coupling in turn being dressed by a power of D-string charge. | result 1.00 | 0.95 | 0.34 | asserted 1.00 |
| s2 | The system is stringy at around this length scale, with dynamics involving an interplay between the open and wrapped closed strings sectors. | interpretation 0.52 | 0.76 | 0.16 | asserted 1.00 |
| s3 | Above this energy scale and at strong coupling, and below it at weak coupling, the system acquires a less stringy character. | result 0.94 | 0.81 | 0.22 | asserted 1.00 |
| s4 | The near horizon geometry of the configuration exhibits several intriguing features, such as a flip in the dilaton field and the curvature scale, reflecting UV-IR mixing in non-commutative dynamics. | result 0.85 | 0.77 | 0.19 | asserted 0.99 |
| s5 | Two special points in the parameter measuring the size of the circle are also identified. | result 0.99 | 0.88 | 0.05 | asserted 0.99 |
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Original abstract
We study the phases of the 1+1 dimensional Non-Commutative Open String theory on a circle. We find that the length scale of non-commutativity increases at strong coupling, the coupling in turn being dressed by a power of D-string charge. The system is stringy at around this length scale, with dynamics involving an interplay between the open and wrapped closed strings sectors. Above this energy scale and at strong coupling, and below it at weak coupling, the system acquires a less stringy character. The near horizon geometry of the configuration exhibits several intriguing features, such as a flip in the dilaton field and the curvature scale, reflecting UV-IR mixing in non-commutative dynamics. Two special points in the parameter measuring the size of the circle are also identified.
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